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Maharam traces on von Neumann algebras

2009/05/18 by Vladimir Chilin, Chilin, Vladimir, Botir Zakirov +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.OA

paper · pdf · doi:10.48550/arxiv.0905.2857

16 pages

arxiv created 2009/05/18 · openalex publication_date 2009/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Traces Φ on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when Φ is the Maharam trace. The version of Radon-Nikodym-type theorem for Maharam traces is established.

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